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Finding the Fourth Proportional to 298,800.40, 412,344.64 and 162,834.40

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Solution

The fourth proportional to 298,800.40, 412,344.64 and 162,834.40 is: 224,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,800.40 : 412,344.64 = 162,834.40 : x
  2. Step 2: Convert to fraction form
    298,800.40/412,344.64 = 162,834.40/x
  3. Step 3: Cross multiply
    298,800.40x = 412,344.64 × 162,834.40
  4. Step 4: Simplify right side
    298,800.40x = 67,143,892,047.62
  5. Step 5: Solve for x
    x = 67,143,892,047.62/298,800.40
  6. Step 6: Final answer
    x = 224,711.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.